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Noise correlations are studied for systems of hard-core bosons inone-dimensional lattices. We use an exact numerical approach based on theBose-Fermi mapping and properties of Slater determinants. We focus on thescaling of the noise correlations with system size in superfluid and insulatingphases, which are generated in the homogeneous lattice, with period-twosuperlattices and with uniformly distributed random diagonal disorder. For thesuperfluid phases, the leading contribution is shown to exhibit adensity-independent scaling proportional to the system size, while the firstsubleading term exhibits a density-dependent power-law exponent.

Scaling of noise correlations in one-dimensional-lattice-hard-core-boson systems